Hering's Law of Equal Innervation¶
A binocular motor principle positing equal drive to yoked eye muscles, with movements decomposable into conjugate version and disjunctive vergence components.
Core Idea¶
Hering's law treats the two eyes as a coordinated motor system. A shared innervation command reaches yoked muscles in equal measure, explaining why saccades are usually conjugate rather than independently chosen for each eye.
For asymmetric tasks, observed motion is decomposed into version, which moves both eyes together, and vergence, which changes their alignment. The law is an idealized explanatory model: documented deviations and rival Helmholtzian accounts prevent treating equality as an exceptionless physiological fact.
Scope of Application¶
- Oculomotor physiology. Models neural coordination of paired eyes.
- Vision science. Analyzes conjugate and vergence components.
- Clinical motility. Provides a baseline for interpreting coupled movement patterns.
- Control theory. Contrasts shared-command and independent-controller architectures.
Clarity¶
Name the yoked muscles, target geometry, version and vergence components, measurement frame, and whether equality is assumed or tested. Report deviations instead of forcing them into the ideal law. Inclusion test: Include accounts of binocular movement that posit equal neural drive to yoked muscles and analyze motion through version-plus-vergence components. Exclusion test: Exclude Listing's law, purely monocular oculomotor descriptions, descriptions of conjugacy without an innervation claim, and strict assertions that ignore known deviations. Nearest boundary: Helmholtzian coordination can predict binocular conjugacy too, but explains it through learned or separately controlled movements rather than innate equal innervation. Exit condition: The model exits when eye-specific commands, not a shared yoked command, are the explanatory unit or when version/vergence decomposition is abandoned. Common misclassifications: It is not Listing's law about torsional eye position. It is not a claim that every measured binocular trajectory is exactly equal. It is not merely the observation that eyes often move together. It is not an independently controlled, learned-coordination theory. Nearest named distinctions: Listing's law: Constrains ocular torsion and position, not equal yoked innervation. Vergence: One component of binocular movement, not the whole law. Conjugate movement: An observed pattern that does not alone specify its control mechanism. Helmholtzian account: Attributes coordination to learned or individual-eye control.
Manages Complexity¶
The law reduces two-eye trajectories to shared command plus two motion bases. That compression exposes both the power of coordinated control and the observations that require a richer model.
Abstract Reasoning¶
- Specify the binocular fixation task.
- Record each eye's trajectory.
- Decompose motion into version and vergence.
- Compare yoked components under the equal-drive prediction.
- Quantify systematic deviations.
- Contrast alternative control explanations.
Knowledge Transfer¶
The shared-command/yoked-effector pattern can frame other bilateral motor systems when anatomy and neural drive support it. Equal innervation must not be transferred from conjugate saccades to unrelated effectors or to every oculomotor condition without evidence.
Relationships to Other Abstractions¶
Current abstraction Hering's Law of Equal Innervation Domain-specific
Parents (1) — more general patterns this builds on
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Hering's Law of Equal Innervation presupposes Coordination Prime
Hering's Law of Equal Innervation presupposes Coordination because the motor principle requires yoked eye muscles to receive linked drive for conjugate movement.
Hierarchy paths (5) — routes to 4 parentless roots
- Hering's Law of Equal Innervation → Coordination → Concurrency
- Hering's Law of Equal Innervation → Coordination → Dependency
- Hering's Law of Equal Innervation → Coordination → Task Interdependence → Dependency
- Hering's Law of Equal Innervation → Coordination → Mobilization → Latent Realizable Capacity
- Hering's Law of Equal Innervation → Coordination → Task Interdependence → Network → Reservoir-Flux Network → Conservation Laws → Invariance
Neighborhood in Abstraction Space¶
Hering's Law of Equal Innervation sits in a sparse region of the domain-specific corpus (61st percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.
Family — Developmental & Clinical Mechanism Hypotheses (13 abstractions)
Nearest neighbors
- Binocular Rivalry — 0.88
- Acoustic reflex — 0.85
- Electroneuronography — 0.84
- Eye Tracking — 0.84
- Enantiomorph — 0.84
Computed from structural-signature embeddings · 2026-10-08